Lubrich M, Donnermeyer D, Schäfer E, Bürklein S. Influence of root canal fillings on alveolar bone crest level—an observational cross sectional CBCT analysis. Appl Sci Basel. 2021;11:8583.
Wu MK, Dummer PM, Wesselink PR. Consequences of and strategies to deal with residual post-treatment root canal infection. Int Endod J. 2006;39:343–56. https://doi.org/10.1111/j.1365-2591.2006.01092.x.
e Silva JB, Leles C, Alencar A, Nunes C, Mendonça E. Digital subtraction radiography evaluation of the bone repair process of chronic apical periodontitis after root canal treatment. Int Endod J. 2010;43:673–80.
Kato CN, Barra SG, Tavares NP, Amaral TM, Brasileiro CB, Mesquita RA, Abreu LG. Use of fractal analysis in dental images: a systematic review. Dentomaxillofac Radiol. 2020;49:20180457. https://doi.org/10.1259/dmfr.20180457.
Article PubMed PubMed Central Google Scholar
Mol A. Imaging methods in periodontology. Periodontol 2000. 2004;34:34–48. https://doi.org/10.1046/j.0906-6713.2003.003423.x.
Soltani P, Sami S, Yaghini J, Golkar E, Riccitiello F, Spagnuolo G. Application of fractal analysis in detecting trabecular bone changes in periapical radiograph of patients with periodontitis. Int J Dent. 2021;2021:3221448. https://doi.org/10.1155/2021/3221448.
Article PubMed PubMed Central Google Scholar
Arsan B, Kose TE, Cene E, Ozcan I. Assessment of the trabecular structure of mandibular condyles in patients with temporomandibular disorders using fractal analysis. Oral Surg Oral Med Oral Pathol Oral Radiol. 2017;123:382–91. https://doi.org/10.1016/j.oooo.2016.11.005.
Tosun S, Karataslioglu E, Tulgar MM, Derindag G. Fractal analysis and periapical index evaluation of multivisit nonsurgical endodontic retreatment: a retrospective study. Oral Surg Oral Med Oral Pathol Oral Radiol. 2022;133:245–51. https://doi.org/10.1016/j.oooo.2021.08.016.
Belgin CA, Serindere G. Evaluation of trabecular bone changes in patients with periodontitis using fractal analysis: a periapical radiography study. J Periodontol. 2020;91:933–7. https://doi.org/10.1002/Jper.19-0452.
Huang CC, Chen JC, Chang YC, Jeng JH, Chen CM. A fractal dimensional approach to successful evaluation of apical healing. Int Endod J. 2013;46:523–9. https://doi.org/10.1111/iej.12020.
Article CAS PubMed Google Scholar
Tosun S, Karataslioglu E, Tulgar MM, Derindag G. Retrospective fractal analyses of one-year follow-up data obtained after single-visit nonsurgical endodontic retreatment on periapical radiographs. Clin Oral Investig. 2021;25:6465–72. https://doi.org/10.1007/s00784-021-04079-0.
Chen SK, Oviir T, Lin CH, Leu LJ, Cho BH, Hollender L. Digital imaging analysis with mathematical morphology and fractal dimension for evaluation of periapical lesions following endodontic treatment. Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 2005;100:467–72. https://doi.org/10.1016/j.tripleo.2005.05.075.
Yu YY, Chen H, Lin CH, Chen CM, Oviir T, Chen SK, Hollender L. Fractal dimension analysis of periapical reactive bone in response to root canal treatment. Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 2009;107:283–8. https://doi.org/10.1016/j.tripleo.2008.05.047.
Aydın ZU, Toptaş O, Bulut DG, Akay N, Kara T, Akbulut N. Effects of root-end filling on the fractal dimension of the periapical bone after periapical surgery: retrospective study. Clin Oral Investig. 2019;23:3645–51.
European Society of E. Quality guidelines for endodontic treatment: consensus report of the European Society of Endodontology. Int Endod J. 2006;39:921–30. https://doi.org/10.1111/j.1365-2591.2006.01180.x.
White SC, Rudolph DJ. Alterations of the trabecular pattern of the jaws in patients with osteoporosis. Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 1999;88:628–35. https://doi.org/10.1016/s1079-2104(99)70097-1.
Article CAS PubMed Google Scholar
Mishra S, Kumar M, Mishra L, Panda S, Panda S, Lewkowicz N, Lapinska B. Estimation of cancellous changes using fractal analysis in patients with periodontitis. Biomedicines. 2023;11:2547. https://doi.org/10.3390/biomedicines11092547.
Article PubMed PubMed Central Google Scholar
Temur KT, Magat G, Cosgunarslan A, Ozcan S. Evaluation of jaw bone change in children and adolescents with rheumatic heart disease by fractal analysis. Niger J Clin Pract. 2024;27:260–7. https://doi.org/10.4103/njcp.njcp_346_23.
Article CAS PubMed Google Scholar
Gumussoy I, Miloglu O, Cankaya E, Bayrakdar IS. Fractal properties of the trabecular pattern of the mandible in chronic renal failure. Dentomaxillofac Radiol. 2016;45:20150389. https://doi.org/10.1259/dmfr.20150389.
Article PubMed PubMed Central Google Scholar
Kis HC, Guleryuz Gurbulak A. Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis. Int J Implant Dent. 2020;6:13. https://doi.org/10.1186/s40729-020-00209-7.
Article PubMed PubMed Central Google Scholar
Zeytinoglu M, Ilhan B, Dundar N, Boyacioglu H. Fractal analysis for the assessment of trabecular peri-implant alveolar bone using panoramic radiographs. Clin Oral Investig. 2015;19:519–24. https://doi.org/10.1007/s00784-014-1245-y.
Korkmaz MZ, Altin A, Gunacar DN, Kose TE. Comparison of trabecular bone structure in individuals with healthy periodontium and stage III/IV, grade C periodontitis by fractal analysis. Oral Surg Oral Med Oral Pathol Oral Radiol. 2023;135:427–32. https://doi.org/10.1016/j.oooo.2022.09.041.
Surenthar M, Srinivasan SV, Parimala D, Ramanathan V. Degenerative temporomandibular disorders: an assessment of bone trabecular structure using fractal analysis in digital panoramic radiographs. Cureus. 2024;16:e57449. https://doi.org/10.7759/cureus.57449.
Article PubMed PubMed Central Google Scholar
Pothuaud L, Benhamou CL, Porion P, Lespessailles E, Harba R, Levitz P. Fractal dimension of trabecular bone projection texture is related to three-dimensional microarchitecture. J Bone Miner Res. 2000;15:691–9. https://doi.org/10.1359/jbmr.2000.15.4.691.
Article CAS PubMed Google Scholar
Sansare K, Singh D, Karjodkar F. Changes in the fractal dimension on pre- and post-implant panoramic radiographs. Oral Radiol. 2012;28:15–23. https://doi.org/10.1007/s11282-011-0075-8.
Yildiz B, Dumani A, Isci AS, Sisli SN, Tumani Ustdal B, Yoldas O. Outcome of single-visit root canal treatment with or without MTAD: a randomized controlled clinical trial. Int Endod J. 2024;57:2–11. https://doi.org/10.1111/iej.13986.
Comments (0)